Pith Number

pith:LEDE7TEK

pith:2012:LEDE7TEKU2BAZRKJZFVYKSR6FY

not attested not anchored not stored refs pending

Even unimodular Lorentzian lattices and hyperbolic volume

Vincent Emery

arxiv:1201.5261 v2 · 2012-01-25 · math.GT · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LEDE7TEKU2BAZRKJZFVYKSR6FY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:19:25.990971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59064fcc8aa6820cc549c96b854a3e2e020bc19d14363a32ed99f82adaa7520f

Aliases

arxiv: 1201.5261 · arxiv_version: 1201.5261v2 · doi: 10.48550/arxiv.1201.5261 · pith_short_12: LEDE7TEKU2BA · pith_short_16: LEDE7TEKU2BAZRKJ · pith_short_8: LEDE7TEK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LEDE7TEKU2BAZRKJZFVYKSR6FY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 59064fcc8aa6820cc549c96b854a3e2e020bc19d14363a32ed99f82adaa7520f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "775c051bc83ed6f18931818077ee0c905e471bd122afb3569fc162a8cd1e313a",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-01-25T13:17:23Z",
    "title_canon_sha256": "b67fa1081aff372236c27cf4e1ca58c3f302d7d42836210e314e6a88fef2c765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5261",
    "kind": "arxiv",
    "version": 2
  }
}